Title of article :
Cyclicity in some classes of Hv-groups
Author/Authors :
Kamporoudi, P Democritus University of Thrace, Panagathou 44B, Alexandroupoli 68131, Greece , Vougiouklis, T Democritus University of Thrace, Neapoli 14-6, Xanthi 67100, Greece
Abstract :
The study of cyclicity in hyperstructures was started very
early, almost from the beginning of the introduction of a
hypergroup by F. Marty in 1934. New concepts appeared
in hyperstructures the main of which are the period of
a generator and the single power cyclicity. These terms
have no meaning in the classical structures as groups. We
study the cyclicity in special large classes of Hv-groups.
Keywords :
generator , single power cyclicity , cyclicity , hope , Hv-group
Journal title :
Journal of Algebraic Hyperstructures and Logical Algebras